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Main Authors: Maeshima, Nobuya, Hino, Ken-ichi
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2403.17412
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author Maeshima, Nobuya
Hino, Ken-ichi
author_facet Maeshima, Nobuya
Hino, Ken-ichi
contents We study low-lying spin-singlet excitations of two-leg Hubbard ladders with site-dependent potentials. Using general formulas of the charge disproportionation induced by the site-dependent potentials, we derive the contributions of spin degrees of freedom to the spectral functions such as the dynamical charge structure factor $N(\boldsymbol{k},ω)$ and the optical conductivity $σ_γ(ω)$ along the $γ(=x,y)$-direction of the two-leg ladders. Numerical results obtained by the Lanczos diagonalization method have clarified that the multi-triplon singlet states, including two- and three-triplon excitations, can be detected by observing these quantities. Furthermore, we have found that ladders with random potentials also have non-negligible contributions of these excitations to $σ_x(ω)$.
format Preprint
id arxiv_https___arxiv_org_abs_2403_17412
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Multi-Triplon Excitations of Hubbard Ladders with Site-Dependent Potentials
Maeshima, Nobuya
Hino, Ken-ichi
Strongly Correlated Electrons
We study low-lying spin-singlet excitations of two-leg Hubbard ladders with site-dependent potentials. Using general formulas of the charge disproportionation induced by the site-dependent potentials, we derive the contributions of spin degrees of freedom to the spectral functions such as the dynamical charge structure factor $N(\boldsymbol{k},ω)$ and the optical conductivity $σ_γ(ω)$ along the $γ(=x,y)$-direction of the two-leg ladders. Numerical results obtained by the Lanczos diagonalization method have clarified that the multi-triplon singlet states, including two- and three-triplon excitations, can be detected by observing these quantities. Furthermore, we have found that ladders with random potentials also have non-negligible contributions of these excitations to $σ_x(ω)$.
title Multi-Triplon Excitations of Hubbard Ladders with Site-Dependent Potentials
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2403.17412